Variance in Binomial Distribution Calculator

✖Number of Trials is the total number of repetitions of a particular random experiment, under similar circumstances.ⓘ Number of Trials [N_Trials]			+10% -10%
✖Probability of Success is the probability of a specific outcome occurring in a single trial of a fixed number of independent Bernoulli trials.ⓘ Probability of Success [p]			+10% -10%

✖Variance of Data is the expectation of the squared deviation of the random variable associated with the given statistical data from its population mean or sample mean.ⓘ Variance in Binomial Distribution [σ²]

⎘ Copy

👎

Formula

✖

Variance in Binomial Distribution

Formula

`"σ"^{"2"} = "N"_{"Trials"}*"p"*(1-"p")`

Example

`"2.4"="10"*"0.6"*(1-"0.6")`

Calculator

LaTeX

Reset

👍

Download Distribution Formulas PDF

Variance in Binomial Distribution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Variance of Data = Number of Trials*Probability of Success*(1-Probability of Success)
σ² = N_Trials*p*(1-p)
This formula uses 3 Variables

Variables Used

Variance of Data - Variance of Data is the expectation of the squared deviation of the random variable associated with the given statistical data from its population mean or sample mean.
Number of Trials - Number of Trials is the total number of repetitions of a particular random experiment, under similar circumstances.
Probability of Success - Probability of Success is the probability of a specific outcome occurring in a single trial of a fixed number of independent Bernoulli trials.

STEP 1: Convert Input(s) to Base Unit

Number of Trials: 10 --> No Conversion Required
Probability of Success: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ² = N_Trials*p*(1-p) --> 10*0.6*(1-0.6)

Evaluating ... ...

σ² = 2.4

STEP 3: Convert Result to Output's Unit

2.4 --> No Conversion Required

FINAL ANSWER

2.4 <-- Variance of Data

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Probability and Disribution » Distribution » Binomial Distribution » Variance in Binomial Distribution

Credits

Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Calculator and 500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< 8 Binomial Distribution Calculators

Binomial Probability Distribution

Go Binomial Probability = (C(Total Number of Trials,Number of Successful Trials))*Probability of Success in Binomial Distribution^Number of Successful Trials*Probability of Failure^(Total Number of Trials-Number of Successful Trials)

Standard Deviation of Negative Binomial Distribution

Go Standard Deviation in Normal Distribution = sqrt(Number of Success*Probability of Failure in Binomial Distribution)/Probability of Success

Standard Deviation of Binomial Distribution

Go Standard Deviation in Normal Distribution = sqrt(Number of Trials*Probability of Success*Probability of Failure in Binomial Distribution)

Mean of Negative Binomial Distribution

Go Mean in Normal Distribution = (Number of Success*Probability of Failure in Binomial Distribution)/Probability of Success

Variance of Negative Binomial Distribution

Go Variance of Data = (Number of Success*Probability of Failure in Binomial Distribution)/(Probability of Success^2)

Variance of Binomial Distribution

Go Variance of Data = Number of Trials*Probability of Success*Probability of Failure in Binomial Distribution

Variance in Binomial Distribution

Go Variance of Data = Number of Trials*Probability of Success*(1-Probability of Success)

Mean of Binomial Distribution

Go Mean in Normal Distribution = Number of Trials*Probability of Success

Variance in Binomial Distribution Formula

Variance of Data = Number of Trials*Probability of Success*(1-Probability of Success)
σ² = N_Trials*p*(1-p)

What is Variance and the importance of Variance in Statistics?

Variance is a statistical tool used to analyze a statistical data. The word Variance is actually derived from the word variety that in terms of statistics means the difference among various scores and readings. Basically it is the expectation of the squared deviation of the associated random variable from its population mean or sample mean. Variance ensures accuracy as more Variance is considered good as compared to the low Variance or absolutely absence of any Variance. Variance in statistics is important as in a measurement it allows us to measure the dispersion of the set of the variables around their mean. These set of the variables are the variables that are being measured or analyzed. The presence of the Variance allows a statistician to draw some meaningful conclusion from the data. The advantage of Variance is that it treats all deviations from the mean as the same regardless of their direction.

How to Calculate Variance in Binomial Distribution?

Variance in Binomial Distribution calculator uses Variance of Data = Number of Trials*Probability of Success*(1-Probability of Success) to calculate the Variance of Data, Variance in Binomial Distribution formula is defined as the expectation of the squared deviation of the random variable associated with a statistical data following binomial distribution, from its population mean or sample mean. Variance of Data is denoted by σ² symbol.

How to calculate Variance in Binomial Distribution using this online calculator? To use this online calculator for Variance in Binomial Distribution, enter Number of Trials (N_Trials) & Probability of Success (p) and hit the calculate button. Here is how the Variance in Binomial Distribution calculation can be explained with given input values -> 2.4 = 10*0.6*(1-0.6).

FAQ

What is Variance in Binomial Distribution?

Variance in Binomial Distribution formula is defined as the expectation of the squared deviation of the random variable associated with a statistical data following binomial distribution, from its population mean or sample mean and is represented as σ² = N_Trials*p*(1-p) or Variance of Data = Number of Trials*Probability of Success*(1-Probability of Success). Number of Trials is the total number of repetitions of a particular random experiment, under similar circumstances & Probability of Success is the probability of a specific outcome occurring in a single trial of a fixed number of independent Bernoulli trials.

How to calculate Variance in Binomial Distribution?

Variance in Binomial Distribution formula is defined as the expectation of the squared deviation of the random variable associated with a statistical data following binomial distribution, from its population mean or sample mean is calculated using Variance of Data = Number of Trials*Probability of Success*(1-Probability of Success). To calculate Variance in Binomial Distribution, you need Number of Trials (N_Trials) & Probability of Success (p). With our tool, you need to enter the respective value for Number of Trials & Probability of Success and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Variance of Data?

In this formula, Variance of Data uses Number of Trials & Probability of Success. We can use 2 other way(s) to calculate the same, which is/are as follows -

Variance of Data = Number of Trials*Probability of Success*Probability of Failure in Binomial Distribution
Variance of Data = (Number of Success*Probability of Failure in Binomial Distribution)/(Probability of Success^2)

Home

FREE PDFs

🔍 Search